2604645354528 has 480 divisors, whose sum is σ = 9124845649920. Its totient is φ = 713170552320.

The previous prime is 2604645354517. The next prime is 2604645354529. The reversal of 2604645354528 is 8254535464062.

2604645354528 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 64 + 5 + 3 + 54 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2604645354529) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57911313 + ... + 57956271.

It is an arithmetic number, because the mean of its divisors is an integer number (19010095104).

Almost surely, 2^{2604645354528} is an apocalyptic number.

2604645354528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604645354528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562422824960).

2604645354528 is an abundant number, since it is smaller than the sum of its proper divisors (6520200295392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2604645354528 is a wasteful number, since it uses less digits than its factorization.

2604645354528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45122 (or 45105 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 2604645354528 in words is "two trillion, six hundred four billion, six hundred forty-five million, three hundred fifty-four thousand, five hundred twenty-eight".